{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Linear Regression - Introduction\n",
    "\n",
    "Linear regression relates a continuous response (dependent) variable to one or more predictors (features, independent variables), using the assumption that the relationship is linear in nature:\n",
    "- The relationship between each feature and the response is a straight line when we keep other features constant.\n",
    "- The slope of this line does not depend on the values of the other variables.\n",
    "- The effects of each variable on the response are additive (but we can include new variables that represent the interaction of two variables).\n",
    "\n",
    "In other words, the model assumes that the response variable can be explained or predicted by a linear combination of the features, except for random deviations from this linear relationship."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports & Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:41.799514Z",
     "start_time": "2018-10-31T18:50:41.788555Z"
    },
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from pathlib import Path\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib import cm\n",
    "import statsmodels.api as sm\n",
    "from sklearn.linear_model import SGDRegressor\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('ggplot')\n",
    "pd.options.display.float_format = '{:,.2f}'.format\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simple Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generate random data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:41.943885Z",
     "start_time": "2018-10-31T18:50:41.802762Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-5, 50, 100)\n",
    "y = 50 + 2 * x  + np.random.normal(0, 20, size=len(x))\n",
    "data = pd.DataFrame({'X': x, 'Y': y})\n",
    "ax = data.plot.scatter(x='X', y='Y');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Our linear model with a single independent variable on the left-hand side assumes the following form:\n",
    "\n",
    "$$y = \\beta_0 + \\beta_1 X_1 + \\epsilon$$\n",
    "\n",
    "$\\epsilon$ accounts for the deviations or errors that we will encounter when our data do not actually fit a straight line. When $\\epsilon$ materializes, that is when we run the model of this type on actual data, the errors are called **residuals**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Estimate a simple regression with statsmodels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The upper part of the summary displays the dataset characteristics, namely the estimation method, the number of observations and parameters, and indicates that standard error estimates do not account for heteroskedasticity. \n",
    "\n",
    "The middle panel shows the coefficient values that closely reflect the artificial data generating process. We can confirm that the estimates displayed in the middle of the summary result can be obtained using the OLS formula derived previously:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:41.953961Z",
     "start_time": "2018-10-31T18:50:41.945586Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      Y   R-squared:                       0.699\n",
      "Model:                            OLS   Adj. R-squared:                  0.696\n",
      "Method:                 Least Squares   F-statistic:                     227.9\n",
      "Date:                Thu, 18 Apr 2019   Prob (F-statistic):           2.55e-27\n",
      "Time:                        20:34:58   Log-Likelihood:                -435.25\n",
      "No. Observations:                 100   AIC:                             874.5\n",
      "Df Residuals:                      98   BIC:                             879.7\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         49.3932      3.271     15.100      0.000      42.902      55.884\n",
      "X              1.7873      0.118     15.098      0.000       1.552       2.022\n",
      "==============================================================================\n",
      "Omnibus:                        6.084   Durbin-Watson:                   2.044\n",
      "Prob(Omnibus):                  0.048   Jarque-Bera (JB):                9.496\n",
      "Skew:                          -0.112   Prob(JB):                      0.00867\n",
      "Kurtosis:                       4.493   Cond. No.                         47.6\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "X = sm.add_constant(data['X'])\n",
    "model = sm.OLS(data['Y'], X).fit()\n",
    "print(model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-03T18:56:37.274147Z",
     "start_time": "2018-09-03T18:56:37.270065Z"
    }
   },
   "source": [
    "#### Verify calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:41.966590Z",
     "start_time": "2018-10-31T18:50:41.955976Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "const   49.39\n",
       "X        1.79\n",
       "dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta = np.linalg.inv(X.T.dot(X)).dot(X.T.dot(y))\n",
    "pd.Series(beta, index=X.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Display model & residuals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:42.270365Z",
     "start_time": "2018-10-31T18:50:41.967741Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data['y-hat'] = model.predict()\n",
    "data['residuals'] = model.resid\n",
    "ax = data.plot.scatter(x='X', y='Y', c='darkgrey')\n",
    "data.plot.line(x='X', y='y-hat', ax=ax);\n",
    "for _, row in data.iterrows():\n",
    "    plt.plot((row.X, row.X), (row.Y, row['y-hat']), 'k-')    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Multiple Regression\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "For two independent variables, the model simply changes as follows:\n",
    "\n",
    "$$y = \\beta_0 + \\beta_1 X_1 + \\beta_2 X_2 + \\epsilon$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generate new random data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:42.566582Z",
     "start_time": "2018-10-31T18:50:42.271672Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Create data\n",
    "size = 25\n",
    "X_1, X_2 = np.meshgrid(np.linspace(-50, 50, size), np.linspace(-50, 50, size), indexing='ij')\n",
    "data = pd.DataFrame({'X_1': X_1.ravel(), 'X_2': X_2.ravel()})\n",
    "data['Y'] = 50 + data.X_1 + 3 * data.X_2 + np.random.normal(0, 50, size=size**2)\n",
    "\n",
    "## Plot\n",
    "three_dee = plt.figure(figsize=(15, 5)).gca(projection='3d')\n",
    "three_dee.scatter(data.X_1, data.X_2, data.Y, c='g');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:42.570451Z",
     "start_time": "2018-10-31T18:50:42.567819Z"
    }
   },
   "outputs": [],
   "source": [
    "X = data[['X_1', 'X_2']]\n",
    "y = data['Y']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Estimate multiple regression model with statsmodels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The upper right part of the panel displays the goodness-of-fit measures just discussed, alongside the F-test that rejects the hypothesis that all coefficients are zero and irrelevant. Similarly, the t-statistics indicate that intercept and both slope coefficients are, unsurprisingly, highly significant.\n",
    "\n",
    "The bottom part of the summary contains the residual diagnostics. The left panel displays skew and kurtosis that are used to test the normality hypothesis. Both the Omnibus and the Jarque—Bera test fails to reject the null hypothesis that the residuals are normally distributed. The Durbin—Watson statistic tests for serial correlation in the residuals and has a value near 2 which, given 2 parameters and 625 observations, fails to reject the hypothesis of no serial correlation.\n",
    "\n",
    "Lastly, the condition number provides evidence about multicollinearity: it is the ratio of the square roots of the largest and the smallest eigenvalue of the design matrix that contains the input data. A value above 30 suggests that the regression may have significant multicollinearity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:42.588305Z",
     "start_time": "2018-10-31T18:50:42.571369Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      Y   R-squared:                       0.779\n",
      "Model:                            OLS   Adj. R-squared:                  0.778\n",
      "Method:                 Least Squares   F-statistic:                     1097.\n",
      "Date:                Thu, 18 Apr 2019   Prob (F-statistic):          1.03e-204\n",
      "Time:                        20:35:08   Log-Likelihood:                -3312.6\n",
      "No. Observations:                 625   AIC:                             6631.\n",
      "Df Residuals:                     622   BIC:                             6644.\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         51.5737      1.944     26.530      0.000      47.756      55.391\n",
      "X_1            0.9439      0.065     14.590      0.000       0.817       1.071\n",
      "X_2            2.8800      0.065     44.514      0.000       2.753       3.007\n",
      "==============================================================================\n",
      "Omnibus:                        1.258   Durbin-Watson:                   2.093\n",
      "Prob(Omnibus):                  0.533   Jarque-Bera (JB):                1.318\n",
      "Skew:                          -0.068   Prob(JB):                        0.517\n",
      "Kurtosis:                       2.821   Cond. No.                         30.0\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "X_ols = sm.add_constant(X)\n",
    "model = sm.OLS(y, X_ols).fit()\n",
    "print(model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Verify computation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:42.599043Z",
     "start_time": "2018-10-31T18:50:42.590663Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "const   51.57\n",
       "X_1      0.94\n",
       "X_2      2.88\n",
       "dtype: float64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta = np.linalg.inv(X_ols.T.dot(X_ols)).dot(X_ols.T.dot(y))\n",
    "pd.Series(beta, index=X_ols.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Save output as image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:43.900034Z",
     "start_time": "2018-10-31T18:50:42.600804Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rc('figure', figsize=(12, 7))\n",
    "plt.text(0.01, 0.05, str(model.summary()), {'fontsize': 14}, fontproperties = 'monospace')\n",
    "plt.axis('off')\n",
    "plt.tight_layout()\n",
    "plt.subplots_adjust(left=0.2, right=0.8, top=0.8, bottom=0.1)\n",
    "# plt.savefig('multiple_regression_summary.png', bbox_inches='tight', dpi=300);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Display model & residuals"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following diagram illustrates the hyperplane fitted by the model to the randomly generated data points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.349555Z",
     "start_time": "2018-10-31T18:50:43.901416Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,0,'$Y, \\\\hat{Y}$')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "three_dee = plt.figure(figsize=(15, 5)).gca(projection='3d')\n",
    "three_dee.scatter(data.X_1, data.X_2, data.Y, c='g')\n",
    "data['y-hat'] = model.predict()\n",
    "to_plot = data.set_index(['X_1', 'X_2']).unstack().loc[:, 'y-hat']\n",
    "three_dee.plot_surface(X_1, X_2, to_plot.values, color='black', alpha=0.2, linewidth=1, antialiased=True)\n",
    "for _, row in data.iterrows():\n",
    "    plt.plot((row.X_1, row.X_1), (row.X_2, row.X_2), (row.Y, row['y-hat']), 'k-');\n",
    "three_dee.set_xlabel('$X_1$');three_dee.set_ylabel('$X_2$');three_dee.set_zlabel('$Y, \\hat{Y}$')\n",
    "# plt.savefig('multiple_regression_plot.png', dpi=300);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Additional [diagnostic tests](https://www.statsmodels.org/dev/diagnostic.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stochastic Gradient Descent Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The sklearn library includes an SGDRegressor model in its linear_models module. To learn the parameters for the same model using this method, we need to first standardize the data because the gradient is sensitive to the scale. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prepare data\n",
    "\n",
    "The gradient is sensitive to scale and so is SGDRegressor. Use the `StandardScaler` or `scale` to adjust the features. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use StandardScaler() for this purpose that computes the mean and the standard deviation for each input variable during the fit step, and then subtracts the mean and divides by the standard deviation during the transform step that we can conveniently conduct in a single fit_transform() command:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.353350Z",
     "start_time": "2018-10-31T18:50:46.350742Z"
    }
   },
   "outputs": [],
   "source": [
    "scaler = StandardScaler()\n",
    "X_ = scaler.fit_transform(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Configure SGDRegressor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we instantiate the SGDRegressor using the default values except for a random_state setting to facilitate replication:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.370431Z",
     "start_time": "2018-10-31T18:50:46.354322Z"
    }
   },
   "outputs": [],
   "source": [
    "sgd = SGDRegressor(loss='squared_loss', fit_intercept=True, \n",
    "                   shuffle=True, random_state=42,\n",
    "                   learning_rate='invscaling', \n",
    "                   eta0=0.01, power_t=0.25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fit Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can fit the sgd model, create the in-sample predictions for both the OLS and the sgd models, and compute the root mean squared error for each:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.380678Z",
     "start_time": "2018-10-31T18:50:46.371532Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SGDRegressor(alpha=0.0001, average=False, early_stopping=False, epsilon=0.1,\n",
       "       eta0=0.01, fit_intercept=True, l1_ratio=0.15,\n",
       "       learning_rate='invscaling', loss='squared_loss', max_iter=None,\n",
       "       n_iter=None, n_iter_no_change=5, penalty='l2', power_t=0.25,\n",
       "       random_state=42, shuffle=True, tol=None, validation_fraction=0.1,\n",
       "       verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sgd.n_iter = np.ceil(10**6 / len(y))\n",
    "sgd.fit(X=X_, y=y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, both models yield the same result. We will now take on a more ambitious project using linear regression to estimate a multi-factor asset pricing model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.387152Z",
     "start_time": "2018-10-31T18:50:46.382208Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "X_1     858.81\n",
       "X_2   2,585.58\n",
       "dtype: float64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "coeffs = (sgd.coef_ * scaler.scale_) + scaler.mean_\n",
    "pd.Series(coeffs, index=X.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.403393Z",
     "start_time": "2018-10-31T18:50:46.388126Z"
    }
   },
   "outputs": [],
   "source": [
    "resids = pd.DataFrame({'sgd': y - sgd.predict(X_),\n",
    "                      'ols': y - model.predict(sm.add_constant(X))})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.419743Z",
     "start_time": "2018-10-31T18:50:46.404381Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "sgd   48.49\n",
       "ols   48.48\n",
       "dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "resids.pow(2).sum().div(len(y)).pow(.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-10-31T18:50:46.622071Z",
     "start_time": "2018-10-31T18:50:46.420805Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "resids.plot.scatter(x='sgd', y='ols');"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  },
  "latex_envs": {
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 0
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
